Consider the problem of scheduling a set of implicit-deadline sporadic tasks to meet all deadlines on a two-type
heterogeneous multiprocessor platform. Each processor is either of type-1 or type-2 with each task having different
execution time on each processor type. Jobs can migrate between processors of same type (referred to as intra-type
migration) but cannot migrate between processors of different types. We present a new scheduling algorithm namely,
LP-Relax(THR) which offers a guarantee that if a task set can be scheduled to meet deadlines by an optimal task
assignment scheme that allows intra-type migration then LP-Relax(THR) meets deadlines as well with intra-type
migration if given processors 1/THR as fast (referred to as speed competitive ratio) where THR <= 2/3.